Only using smooth continuous changes , Reidemeister's
moves, ( one
rethreading, no cutting, no gluing, give it the appearance of the
By doing that you will show that they are "equivalent".
You can try to use this more recent aspect of the Perko pair
instead of the first given one.
are said "the PERKO pair" after the name of the astute person who shown
were *not* two distinct knots ; just a someone seen in full face and
the same someone
profile are not distinct individuals.
FIXED LOOP IS EQUIVALENT TO A SLIPPING LOOP
(considered to be a fixed loop) TRANSMOGRIFIED INTO A NOOSE Do
not open this link at the moment but 'rope in
to find how
to get a
noose / sliding loop with a bowline.
I very much doubt that a loaded bowline could have this
still remain that it is
easy to do it with a bowline in a *very
Using 'le noeud de chaise
préparé' / the prepared bowline (#1788), some of the time you
result without even trying!
So please, just as while scuba diving one must always
verify that one's action has the
intended result with the environment
reference, when making a bowline 'prepared"
carefully verify the
resulting knot before putting it into use.
BEWARE of "written in stone" classification and of the
idea that every one know": a fixed loop is sometime (equivalent to) a slipping
loop or noose and that
any rethreading of the knot ! just a question of "arranging,
BY SUBTLY MODIFYING ( wantonly or inadvertently) # 1788 GET A
BOWLINE OR AN OUTSIDE TAIL Bwl INSTEAD OF THE USUAL
INSIDE TAIL ONE.
Look at ABoK
#1788, this is what is named here in France "le noeud de
in other words 'the prepared Bwl'
Subtly change either crossing(s) and/or the way the WEnd (
Working End) is thread in so
as to get the 2